Properties

Label 930.2.br.a.11.11
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.51241 - 0.844159i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.17753 + 1.27020i) q^{6} +(0.00579634 + 0.0551485i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.57479 - 2.55344i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.51241 - 0.844159i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.17753 + 1.27020i) q^{6} +(0.00579634 + 0.0551485i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.57479 - 2.55344i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-4.39351 - 1.95612i) q^{11} +(0.727384 - 1.57191i) q^{12} +(-1.17337 - 5.52027i) q^{13} +(-0.0225545 - 0.0506582i) q^{14} +(0.887709 - 1.48727i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.22241 + 1.87994i) q^{17} +(-0.708659 + 2.91510i) q^{18} +(-7.24514 - 1.54000i) q^{19} +(0.406737 - 0.913545i) q^{20} +(0.0553206 + 0.0785143i) q^{21} +(4.78295 + 0.502709i) q^{22} +(-1.07181 - 0.778717i) q^{23} +(-0.206035 + 1.71975i) q^{24} +(0.500000 - 0.866025i) q^{25} +(2.82180 + 4.88750i) q^{26} +(0.226225 - 5.19123i) q^{27} +(0.0371048 + 0.0412091i) q^{28} +(-0.765615 - 2.35632i) q^{29} +(-0.384669 + 1.68880i) q^{30} +(5.26534 + 1.81001i) q^{31} +1.00000i q^{32} +(-8.29608 + 0.750366i) q^{33} +(3.43482 - 3.09273i) q^{34} +(0.0325940 + 0.0448618i) q^{35} +(-0.226841 - 2.99141i) q^{36} +(4.18646 + 2.41705i) q^{37} +(7.36642 - 0.774242i) q^{38} +(-6.43461 - 7.35842i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(7.04768 + 6.34576i) q^{41} +(-0.0768752 - 0.0575765i) q^{42} +(0.517215 - 2.43330i) q^{43} +(-4.70420 + 0.999909i) q^{44} +(0.0870895 - 2.99874i) q^{45} +(1.25999 + 0.409396i) q^{46} +(-0.349977 - 0.113714i) q^{47} +(-0.335482 - 1.69925i) q^{48} +(6.84403 - 1.45474i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(-4.79907 + 6.40764i) q^{51} +(-4.19401 - 3.77630i) q^{52} +(0.476094 - 4.52973i) q^{53} +(1.38902 + 5.00706i) q^{54} +(-4.78295 + 0.502709i) q^{55} +(-0.0480231 - 0.0277261i) q^{56} +(-12.2577 + 3.78693i) q^{57} +(1.45629 + 2.00441i) q^{58} +(4.67634 - 4.21060i) q^{59} +(-0.156024 - 1.72501i) q^{60} +6.01788i q^{61} +(-5.56696 - 0.0943451i) q^{62} +(0.149946 + 0.0720467i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.77630 - 4.19401i) q^{65} +(7.65817 - 3.27727i) q^{66} +(-1.65285 - 2.86283i) q^{67} +(-2.31100 + 4.00278i) q^{68} +(-2.27839 - 0.272962i) q^{69} +(-0.0448618 - 0.0325940i) q^{70} +(-3.05457 - 0.321048i) q^{71} +(1.14014 + 2.77490i) q^{72} +(-2.89385 + 6.49970i) q^{73} +(-4.72847 - 1.00507i) q^{74} +(0.0251432 - 1.73187i) q^{75} +(-6.76663 + 3.01270i) q^{76} +(0.0824107 - 0.253634i) q^{77} +(8.39355 + 5.00987i) q^{78} +(5.28619 + 11.8730i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-4.04008 - 8.04225i) q^{81} +(-8.66369 - 3.85732i) q^{82} +(1.77637 - 1.97286i) q^{83} +(0.0909048 + 0.0310028i) q^{84} +(-2.71675 + 3.73928i) q^{85} +(0.260032 + 2.47404i) q^{86} +(-3.14704 - 2.91743i) q^{87} +(4.16497 - 2.40465i) q^{88} +(6.09663 - 4.42946i) q^{89} +(0.843833 + 2.87888i) q^{90} +(0.297633 - 0.0967069i) q^{91} -1.32483 q^{92} +(9.49132 - 1.70730i) q^{93} +0.367987 q^{94} +(-7.04448 + 2.28889i) q^{95} +(0.844159 + 1.51241i) q^{96} +(1.98975 - 1.44564i) q^{97} +(-6.05951 + 3.49846i) q^{98} +(-11.9137 + 8.13808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 1.51241 0.844159i 0.873192 0.487376i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.17753 + 1.27020i −0.480725 + 0.518559i
\(7\) 0.00579634 + 0.0551485i 0.00219081 + 0.0208442i 0.995563 0.0941006i \(-0.0299975\pi\)
−0.993372 + 0.114945i \(0.963331\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 1.57479 2.55344i 0.524930 0.851145i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −4.39351 1.95612i −1.32469 0.589792i −0.382220 0.924071i \(-0.624840\pi\)
−0.942474 + 0.334280i \(0.891507\pi\)
\(12\) 0.727384 1.57191i 0.209978 0.453772i
\(13\) −1.17337 5.52027i −0.325434 1.53105i −0.771607 0.636100i \(-0.780547\pi\)
0.446173 0.894947i \(-0.352787\pi\)
\(14\) −0.0225545 0.0506582i −0.00602793 0.0135390i
\(15\) 0.887709 1.48727i 0.229205 0.384012i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −4.22241 + 1.87994i −1.02409 + 0.455952i −0.848883 0.528580i \(-0.822725\pi\)
−0.175202 + 0.984532i \(0.556058\pi\)
\(18\) −0.708659 + 2.91510i −0.167032 + 0.687095i
\(19\) −7.24514 1.54000i −1.66215 0.353301i −0.721430 0.692487i \(-0.756515\pi\)
−0.940719 + 0.339187i \(0.889848\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 0.0553206 + 0.0785143i 0.0120719 + 0.0171332i
\(22\) 4.78295 + 0.502709i 1.01973 + 0.107178i
\(23\) −1.07181 0.778717i −0.223488 0.162374i 0.470407 0.882449i \(-0.344107\pi\)
−0.693896 + 0.720076i \(0.744107\pi\)
\(24\) −0.206035 + 1.71975i −0.0420567 + 0.351043i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 2.82180 + 4.88750i 0.553400 + 0.958517i
\(27\) 0.226225 5.19123i 0.0435371 0.999052i
\(28\) 0.0371048 + 0.0412091i 0.00701215 + 0.00778778i
\(29\) −0.765615 2.35632i −0.142171 0.437558i 0.854465 0.519509i \(-0.173885\pi\)
−0.996636 + 0.0819507i \(0.973885\pi\)
\(30\) −0.384669 + 1.68880i −0.0702307 + 0.308330i
\(31\) 5.26534 + 1.81001i 0.945684 + 0.325088i
\(32\) 1.00000i 0.176777i
\(33\) −8.29608 + 0.750366i −1.44416 + 0.130622i
\(34\) 3.43482 3.09273i 0.589067 0.530398i
\(35\) 0.0325940 + 0.0448618i 0.00550940 + 0.00758303i
\(36\) −0.226841 2.99141i −0.0378068 0.498569i
\(37\) 4.18646 + 2.41705i 0.688249 + 0.397361i 0.802956 0.596039i \(-0.203259\pi\)
−0.114707 + 0.993399i \(0.536593\pi\)
\(38\) 7.36642 0.774242i 1.19499 0.125599i
\(39\) −6.43461 7.35842i −1.03036 1.17829i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 7.04768 + 6.34576i 1.10066 + 0.991041i 0.999992 0.00387861i \(-0.00123460\pi\)
0.100670 + 0.994920i \(0.467901\pi\)
\(42\) −0.0768752 0.0575765i −0.0118621 0.00888425i
\(43\) 0.517215 2.43330i 0.0788745 0.371075i −0.920953 0.389675i \(-0.872587\pi\)
0.999827 + 0.0185995i \(0.00592073\pi\)
\(44\) −4.70420 + 0.999909i −0.709185 + 0.150742i
\(45\) 0.0870895 2.99874i 0.0129825 0.447025i
\(46\) 1.25999 + 0.409396i 0.185776 + 0.0603621i
\(47\) −0.349977 0.113714i −0.0510494 0.0165869i 0.283381 0.959007i \(-0.408544\pi\)
−0.334430 + 0.942420i \(0.608544\pi\)
\(48\) −0.335482 1.69925i −0.0484226 0.245266i
\(49\) 6.84403 1.45474i 0.977718 0.207820i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) −4.79907 + 6.40764i −0.672004 + 0.897249i
\(52\) −4.19401 3.77630i −0.581604 0.523679i
\(53\) 0.476094 4.52973i 0.0653965 0.622206i −0.911912 0.410386i \(-0.865394\pi\)
0.977309 0.211820i \(-0.0679392\pi\)
\(54\) 1.38902 + 5.00706i 0.189022 + 0.681374i
\(55\) −4.78295 + 0.502709i −0.644933 + 0.0677852i
\(56\) −0.0480231 0.0277261i −0.00641735 0.00370506i
\(57\) −12.2577 + 3.78693i −1.62357 + 0.501592i
\(58\) 1.45629 + 2.00441i 0.191220 + 0.263192i
\(59\) 4.67634 4.21060i 0.608808 0.548173i −0.306016 0.952026i \(-0.598996\pi\)
0.914824 + 0.403853i \(0.132329\pi\)
\(60\) −0.156024 1.72501i −0.0201426 0.222698i
\(61\) 6.01788i 0.770511i 0.922810 + 0.385256i \(0.125887\pi\)
−0.922810 + 0.385256i \(0.874113\pi\)
\(62\) −5.56696 0.0943451i −0.707005 0.0119818i
\(63\) 0.149946 + 0.0720467i 0.0188914 + 0.00907703i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −3.77630 4.19401i −0.468393 0.520203i
\(66\) 7.65817 3.27727i 0.942655 0.403404i
\(67\) −1.65285 2.86283i −0.201928 0.349750i 0.747222 0.664575i \(-0.231387\pi\)
−0.949150 + 0.314825i \(0.898054\pi\)
\(68\) −2.31100 + 4.00278i −0.280250 + 0.485408i
\(69\) −2.27839 0.272962i −0.274285 0.0328608i
\(70\) −0.0448618 0.0325940i −0.00536201 0.00389573i
\(71\) −3.05457 0.321048i −0.362511 0.0381014i −0.0784776 0.996916i \(-0.525006\pi\)
−0.284033 + 0.958814i \(0.591673\pi\)
\(72\) 1.14014 + 2.77490i 0.134366 + 0.327026i
\(73\) −2.89385 + 6.49970i −0.338700 + 0.760733i 0.661244 + 0.750171i \(0.270029\pi\)
−0.999944 + 0.0105619i \(0.996638\pi\)
\(74\) −4.72847 1.00507i −0.549673 0.116837i
\(75\) 0.0251432 1.73187i 0.00290329 0.199979i
\(76\) −6.76663 + 3.01270i −0.776186 + 0.345580i
\(77\) 0.0824107 0.253634i 0.00939157 0.0289043i
\(78\) 8.39355 + 5.00987i 0.950382 + 0.567256i
\(79\) 5.28619 + 11.8730i 0.594743 + 1.33582i 0.920641 + 0.390410i \(0.127667\pi\)
−0.325898 + 0.945405i \(0.605667\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −4.04008 8.04225i −0.448897 0.893583i
\(82\) −8.66369 3.85732i −0.956745 0.425970i
\(83\) 1.77637 1.97286i 0.194982 0.216549i −0.637724 0.770265i \(-0.720124\pi\)
0.832706 + 0.553716i \(0.186791\pi\)
\(84\) 0.0909048 + 0.0310028i 0.00991853 + 0.00338268i
\(85\) −2.71675 + 3.73928i −0.294673 + 0.405582i
\(86\) 0.260032 + 2.47404i 0.0280400 + 0.266782i
\(87\) −3.14704 2.91743i −0.337398 0.312781i
\(88\) 4.16497 2.40465i 0.443988 0.256336i
\(89\) 6.09663 4.42946i 0.646242 0.469522i −0.215747 0.976449i \(-0.569219\pi\)
0.861989 + 0.506927i \(0.169219\pi\)
\(90\) 0.843833 + 2.87888i 0.0889478 + 0.303461i
\(91\) 0.297633 0.0967069i 0.0312004 0.0101376i
\(92\) −1.32483 −0.138123
\(93\) 9.49132 1.70730i 0.984204 0.177039i
\(94\) 0.367987 0.0379550
\(95\) −7.04448 + 2.28889i −0.722748 + 0.234835i
\(96\) 0.844159 + 1.51241i 0.0861567 + 0.154360i
\(97\) 1.98975 1.44564i 0.202029 0.146782i −0.482171 0.876077i \(-0.660152\pi\)
0.684200 + 0.729295i \(0.260152\pi\)
\(98\) −6.05951 + 3.49846i −0.612103 + 0.353398i
\(99\) −11.9137 + 8.13808i −1.19737 + 0.817908i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 10.3220 14.2070i 1.02708 1.41365i 0.119960 0.992779i \(-0.461723\pi\)
0.907119 0.420874i \(-0.138277\pi\)
\(102\) 2.58411 7.57702i 0.255865 0.750236i
\(103\) 4.35531 4.83706i 0.429141 0.476610i −0.489329 0.872099i \(-0.662758\pi\)
0.918471 + 0.395489i \(0.129425\pi\)
\(104\) 5.15568 + 2.29546i 0.505556 + 0.225088i
\(105\) 0.0871662 + 0.0403351i 0.00850655 + 0.00393630i
\(106\) 0.946971 + 4.45515i 0.0919779 + 0.432722i
\(107\) −8.15087 18.3072i −0.787974 1.76982i −0.620924 0.783871i \(-0.713242\pi\)
−0.167050 0.985948i \(-0.553424\pi\)
\(108\) −2.86831 4.33276i −0.276003 0.416920i
\(109\) 3.12570 9.61992i 0.299388 0.921421i −0.682324 0.731050i \(-0.739031\pi\)
0.981712 0.190372i \(-0.0609693\pi\)
\(110\) 4.39351 1.95612i 0.418905 0.186509i
\(111\) 8.37203 + 0.121545i 0.794638 + 0.0115365i
\(112\) 0.0542405 + 0.0115292i 0.00512525 + 0.00108940i
\(113\) −0.478150 + 1.07394i −0.0449805 + 0.101028i −0.934638 0.355600i \(-0.884276\pi\)
0.889658 + 0.456628i \(0.150943\pi\)
\(114\) 10.4875 7.38941i 0.982244 0.692082i
\(115\) −1.31758 0.138483i −0.122865 0.0129136i
\(116\) −2.00441 1.45629i −0.186105 0.135213i
\(117\) −15.9435 5.69714i −1.47397 0.526700i
\(118\) −3.14632 + 5.44959i −0.289642 + 0.501675i
\(119\) −0.128150 0.221963i −0.0117475 0.0203473i
\(120\) 0.681445 + 1.59237i 0.0622071 + 0.145363i
\(121\) 8.11612 + 9.01387i 0.737829 + 0.819442i
\(122\) −1.85963 5.72335i −0.168363 0.518168i
\(123\) 16.0158 + 3.64805i 1.44410 + 0.328933i
\(124\) 5.32365 1.63056i 0.478078 0.146429i
\(125\) 1.00000i 0.0894427i
\(126\) −0.164871 0.0221845i −0.0146879 0.00197636i
\(127\) 2.52970 2.27775i 0.224475 0.202118i −0.549218 0.835679i \(-0.685074\pi\)
0.773692 + 0.633561i \(0.218408\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −1.27185 4.11677i −0.111981 0.362462i
\(130\) 4.88750 + 2.82180i 0.428662 + 0.247488i
\(131\) −0.219272 + 0.0230464i −0.0191579 + 0.00201357i −0.114103 0.993469i \(-0.536399\pi\)
0.0949447 + 0.995483i \(0.469733\pi\)
\(132\) −6.27062 + 5.48337i −0.545787 + 0.477267i
\(133\) 0.0429335 0.408485i 0.00372281 0.0354201i
\(134\) 2.45662 + 2.21195i 0.212219 + 0.191083i
\(135\) −2.39970 4.60885i −0.206533 0.396666i
\(136\) 0.960969 4.52100i 0.0824024 0.387673i
\(137\) −7.90566 + 1.68040i −0.675426 + 0.143566i −0.532840 0.846216i \(-0.678875\pi\)
−0.142586 + 0.989782i \(0.545542\pi\)
\(138\) 2.25122 0.444458i 0.191637 0.0378347i
\(139\) −2.87855 0.935296i −0.244155 0.0793308i 0.184383 0.982854i \(-0.440971\pi\)
−0.428538 + 0.903524i \(0.640971\pi\)
\(140\) 0.0527382 + 0.0171357i 0.00445719 + 0.00144823i
\(141\) −0.625303 + 0.123453i −0.0526600 + 0.0103966i
\(142\) 3.00428 0.638579i 0.252113 0.0535884i
\(143\) −5.64308 + 26.5486i −0.471898 + 2.22011i
\(144\) −1.94183 2.28677i −0.161819 0.190564i
\(145\) −1.84120 1.65783i −0.152904 0.137675i
\(146\) 0.743700 7.07583i 0.0615491 0.585600i
\(147\) 9.12296 7.97762i 0.752449 0.657983i
\(148\) 4.80762 0.505301i 0.395184 0.0415355i
\(149\) 7.38731 + 4.26507i 0.605192 + 0.349408i 0.771081 0.636736i \(-0.219716\pi\)
−0.165889 + 0.986144i \(0.553049\pi\)
\(150\) 0.511264 + 1.65487i 0.0417445 + 0.135120i
\(151\) 10.5873 + 14.5722i 0.861586 + 1.18587i 0.981189 + 0.193050i \(0.0618378\pi\)
−0.119603 + 0.992822i \(0.538162\pi\)
\(152\) 5.50447 4.95625i 0.446472 0.402005i
\(153\) −1.84911 + 13.7422i −0.149491 + 1.11099i
\(154\) 0.266686i 0.0214902i
\(155\) 5.46493 1.06515i 0.438954 0.0855552i
\(156\) −9.53087 2.17092i −0.763081 0.173813i
\(157\) −2.87228 8.83996i −0.229233 0.705506i −0.997834 0.0657780i \(-0.979047\pi\)
0.768602 0.639728i \(-0.220953\pi\)
\(158\) −8.69642 9.65836i −0.691850 0.768378i
\(159\) −3.10376 7.25272i −0.246144 0.575178i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.0367325 0.0636226i 0.00289493 0.00501416i
\(162\) 6.32753 + 6.40018i 0.497138 + 0.502846i
\(163\) 16.4984 + 11.9868i 1.29225 + 0.938876i 0.999848 0.0174189i \(-0.00554490\pi\)
0.292404 + 0.956295i \(0.405545\pi\)
\(164\) 9.43164 + 0.991305i 0.736487 + 0.0774079i
\(165\) −6.80944 + 4.79788i −0.530114 + 0.373514i
\(166\) −1.07978 + 2.42523i −0.0838072 + 0.188234i
\(167\) −19.9666 4.24403i −1.54506 0.328413i −0.645002 0.764181i \(-0.723143\pi\)
−0.900059 + 0.435768i \(0.856477\pi\)
\(168\) −0.0960360 0.00139425i −0.00740934 0.000107569i
\(169\) −17.2205 + 7.66705i −1.32465 + 0.589773i
\(170\) 1.42828 4.39579i 0.109544 0.337142i
\(171\) −15.3419 + 16.0748i −1.17322 + 1.22927i
\(172\) −1.01182 2.27260i −0.0771509 0.173284i
\(173\) −2.83694 13.3467i −0.215688 1.01473i −0.944117 0.329612i \(-0.893082\pi\)
0.728428 0.685122i \(-0.240251\pi\)
\(174\) 3.89455 + 1.80215i 0.295245 + 0.136621i
\(175\) 0.0506582 + 0.0225545i 0.00382940 + 0.00170496i
\(176\) −3.21805 + 3.57401i −0.242570 + 0.269401i
\(177\) 3.51815 10.3157i 0.264440 0.775379i
\(178\) −4.42946 + 6.09663i −0.332002 + 0.456962i
\(179\) 1.42880 + 13.5941i 0.106793 + 1.01607i 0.908367 + 0.418174i \(0.137330\pi\)
−0.801573 + 0.597896i \(0.796003\pi\)
\(180\) −1.69216 2.47722i −0.126126 0.184641i
\(181\) 7.46802 4.31166i 0.555094 0.320483i −0.196080 0.980588i \(-0.562821\pi\)
0.751174 + 0.660104i \(0.229488\pi\)
\(182\) −0.253182 + 0.183947i −0.0187671 + 0.0136351i
\(183\) 5.08005 + 9.10153i 0.375528 + 0.672804i
\(184\) 1.25999 0.409396i 0.0928878 0.0301811i
\(185\) 4.83410 0.355410
\(186\) −8.49920 + 4.55672i −0.623191 + 0.334115i
\(187\) 22.2286 1.62552
\(188\) −0.349977 + 0.113714i −0.0255247 + 0.00829347i
\(189\) 0.287600 0.0176141i 0.0209198 0.00128124i
\(190\) 5.99239 4.35373i 0.434734 0.315852i
\(191\) 6.80966 3.93156i 0.492730 0.284478i −0.232976 0.972482i \(-0.574846\pi\)
0.725706 + 0.688005i \(0.241513\pi\)
\(192\) −1.27020 1.17753i −0.0916691 0.0849810i
\(193\) −0.400990 3.81517i −0.0288639 0.274622i −0.999429 0.0337835i \(-0.989244\pi\)
0.970565 0.240838i \(-0.0774223\pi\)
\(194\) −1.44564 + 1.98975i −0.103791 + 0.142856i
\(195\) −9.25174 3.15527i −0.662531 0.225954i
\(196\) 4.68186 5.19973i 0.334418 0.371409i
\(197\) −12.2730 5.46427i −0.874412 0.389313i −0.0800734 0.996789i \(-0.525515\pi\)
−0.794338 + 0.607476i \(0.792182\pi\)
\(198\) 8.81578 11.4213i 0.626510 0.811677i
\(199\) −4.60196 21.6505i −0.326224 1.53476i −0.769658 0.638457i \(-0.779573\pi\)
0.443434 0.896307i \(-0.353760\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −4.91648 2.93450i −0.346782 0.206984i
\(202\) −5.42660 + 16.7014i −0.381815 + 1.17510i
\(203\) 0.125510 0.0558806i 0.00880906 0.00392205i
\(204\) −0.116212 + 8.00471i −0.00813648 + 0.560442i
\(205\) 9.27635 + 1.97175i 0.647888 + 0.137713i
\(206\) −2.64741 + 5.94618i −0.184454 + 0.414290i
\(207\) −3.67628 + 1.51049i −0.255519 + 0.104986i
\(208\) −5.61268 0.589916i −0.389169 0.0409033i
\(209\) 28.8192 + 20.9384i 1.99347 + 1.44834i
\(210\) −0.0953642 0.0114251i −0.00658075 0.000788407i
\(211\) −2.10081 + 3.63872i −0.144626 + 0.250500i −0.929233 0.369493i \(-0.879531\pi\)
0.784607 + 0.619993i \(0.212865\pi\)
\(212\) −2.27734 3.94447i −0.156408 0.270907i
\(213\) −4.89079 + 2.09299i −0.335111 + 0.143409i
\(214\) 13.4092 + 14.8924i 0.916631 + 1.01802i
\(215\) −0.768731 2.36591i −0.0524270 0.161354i
\(216\) 4.06682 + 3.23435i 0.276712 + 0.220069i
\(217\) −0.0692998 + 0.300867i −0.00470438 + 0.0204242i
\(218\) 10.1150i 0.685073i
\(219\) 1.11008 + 12.2731i 0.0750123 + 0.829340i
\(220\) −3.57401 + 3.21805i −0.240959 + 0.216961i
\(221\) 15.3322 + 21.1030i 1.03136 + 1.41954i
\(222\) −7.99983 + 2.47150i −0.536914 + 0.165876i
\(223\) −17.2637 9.96720i −1.15606 0.667453i −0.205706 0.978614i \(-0.565949\pi\)
−0.950357 + 0.311161i \(0.899282\pi\)
\(224\) −0.0551485 + 0.00579634i −0.00368476 + 0.000387284i
\(225\) −1.42395 2.64053i −0.0949297 0.176035i
\(226\) 0.122881 1.16914i 0.00817393 0.0777697i
\(227\) −4.17651 3.76054i −0.277204 0.249596i 0.518788 0.854903i \(-0.326384\pi\)
−0.795992 + 0.605307i \(0.793050\pi\)
\(228\) −7.69075 + 10.2686i −0.509332 + 0.680052i
\(229\) −4.76991 + 22.4407i −0.315205 + 1.48292i 0.480370 + 0.877066i \(0.340502\pi\)
−0.795575 + 0.605855i \(0.792831\pi\)
\(230\) 1.29588 0.275448i 0.0854480 0.0181625i
\(231\) −0.0894685 0.453167i −0.00588659 0.0298162i
\(232\) 2.35632 + 0.765615i 0.154700 + 0.0502651i
\(233\) 16.5162 + 5.36645i 1.08202 + 0.351568i 0.795156 0.606405i \(-0.207389\pi\)
0.286859 + 0.957973i \(0.407389\pi\)
\(234\) 16.9236 + 0.491498i 1.10633 + 0.0321302i
\(235\) −0.359946 + 0.0765089i −0.0234803 + 0.00499089i
\(236\) 1.30831 6.15513i 0.0851639 0.400665i
\(237\) 18.0176 + 13.4945i 1.17037 + 0.876560i
\(238\) 0.190469 + 0.171499i 0.0123462 + 0.0111166i
\(239\) −0.710742 + 6.76226i −0.0459741 + 0.437414i 0.947189 + 0.320677i \(0.103910\pi\)
−0.993163 + 0.116737i \(0.962756\pi\)
\(240\) −1.14016 1.30385i −0.0735971 0.0841634i
\(241\) 23.6259 2.48318i 1.52188 0.159956i 0.693635 0.720327i \(-0.256008\pi\)
0.828242 + 0.560371i \(0.189342\pi\)
\(242\) −10.5043 6.06468i −0.675244 0.389852i
\(243\) −12.8992 8.75274i −0.827485 0.561489i
\(244\) 3.53722 + 4.86857i 0.226448 + 0.311678i
\(245\) 5.19973 4.68186i 0.332198 0.299113i
\(246\) −16.3593 + 1.47967i −1.04303 + 0.0943402i
\(247\) 41.8021i 2.65980i
\(248\) −4.55922 + 3.19585i −0.289511 + 0.202937i
\(249\) 1.02120 4.48331i 0.0647157 0.284118i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 12.5247 + 13.9101i 0.790554 + 0.877999i 0.994897 0.100901i \(-0.0321724\pi\)
−0.204343 + 0.978899i \(0.565506\pi\)
\(252\) 0.163657 0.0298492i 0.0103094 0.00188032i
\(253\) 3.18576 + 5.51790i 0.200287 + 0.346907i
\(254\) −1.70202 + 2.94799i −0.106795 + 0.184974i
\(255\) −0.952295 + 7.94871i −0.0596350 + 0.497767i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 13.9544 + 1.46667i 0.870454 + 0.0914884i 0.529215 0.848488i \(-0.322487\pi\)
0.341240 + 0.939976i \(0.389153\pi\)
\(258\) 2.48176 + 3.52226i 0.154508 + 0.219286i
\(259\) −0.109031 + 0.244887i −0.00677483 + 0.0152165i
\(260\) −5.52027 1.17337i −0.342352 0.0727693i
\(261\) −7.22240 1.75576i −0.447055 0.108679i
\(262\) 0.201418 0.0896771i 0.0124436 0.00554027i
\(263\) −1.19730 + 3.68491i −0.0738287 + 0.227221i −0.981161 0.193194i \(-0.938115\pi\)
0.907332 + 0.420415i \(0.138115\pi\)
\(264\) 4.26926 7.15273i 0.262755 0.440220i
\(265\) −1.85255 4.16091i −0.113802 0.255602i
\(266\) 0.0853966 + 0.401759i 0.00523600 + 0.0246335i
\(267\) 5.48145 11.8457i 0.335460 0.724945i
\(268\) −3.01991 1.34455i −0.184471 0.0821316i
\(269\) −16.7866 + 18.6434i −1.02349 + 1.13671i −0.0329584 + 0.999457i \(0.510493\pi\)
−0.990537 + 0.137249i \(0.956174\pi\)
\(270\) 3.70646 + 3.64173i 0.225568 + 0.221628i
\(271\) −14.5086 + 19.9693i −0.881333 + 1.21305i 0.0947168 + 0.995504i \(0.469805\pi\)
−0.976050 + 0.217547i \(0.930195\pi\)
\(272\) 0.483131 + 4.59669i 0.0292941 + 0.278715i
\(273\) 0.368508 0.397511i 0.0223031 0.0240584i
\(274\) 6.99946 4.04114i 0.422853 0.244134i
\(275\) −3.89080 + 2.82683i −0.234624 + 0.170465i
\(276\) −2.00370 + 1.11837i −0.120608 + 0.0673180i
\(277\) −18.1270 + 5.88982i −1.08915 + 0.353885i −0.797917 0.602768i \(-0.794064\pi\)
−0.291230 + 0.956653i \(0.594064\pi\)
\(278\) 3.02668 0.181528
\(279\) 12.9136 10.5943i 0.773115 0.634266i
\(280\) −0.0554523 −0.00331391
\(281\) 31.1820 10.1317i 1.86016 0.604404i 0.865540 0.500839i \(-0.166975\pi\)
0.994623 0.103564i \(-0.0330248\pi\)
\(282\) 0.556549 0.310640i 0.0331420 0.0184983i
\(283\) −15.1384 + 10.9987i −0.899885 + 0.653805i −0.938436 0.345452i \(-0.887726\pi\)
0.0385517 + 0.999257i \(0.487726\pi\)
\(284\) −2.65991 + 1.53570i −0.157836 + 0.0911269i
\(285\) −8.72197 + 9.40841i −0.516645 + 0.557306i
\(286\) −2.83708 26.9930i −0.167760 1.59613i
\(287\) −0.309108 + 0.425451i −0.0182461 + 0.0251136i
\(288\) 2.55344 + 1.57479i 0.150463 + 0.0927954i
\(289\) 2.91938 3.24230i 0.171728 0.190724i
\(290\) 2.26338 + 1.00772i 0.132911 + 0.0591756i
\(291\) 1.78898 3.86607i 0.104872 0.226633i
\(292\) 1.47925 + 6.95933i 0.0865667 + 0.407264i
\(293\) −0.942288 2.11641i −0.0550491 0.123642i 0.883927 0.467625i \(-0.154890\pi\)
−0.938976 + 0.343983i \(0.888224\pi\)
\(294\) −6.21123 + 10.4063i −0.362246 + 0.606909i
\(295\) 1.94453 5.98466i 0.113215 0.348440i
\(296\) −4.41617 + 1.96621i −0.256685 + 0.114283i
\(297\) −11.1486 + 22.3652i −0.646906 + 1.29776i
\(298\) −8.34373 1.77351i −0.483339 0.102737i
\(299\) −3.04110 + 6.83041i −0.175871 + 0.395013i
\(300\) −0.997625 1.41589i −0.0575979 0.0817464i
\(301\) 0.137191 + 0.0144194i 0.00790756 + 0.000831118i
\(302\) −14.5722 10.5873i −0.838538 0.609233i
\(303\) 3.61815 30.2003i 0.207857 1.73496i
\(304\) −3.70350 + 6.41465i −0.212410 + 0.367905i
\(305\) 3.00894 + 5.21164i 0.172292 + 0.298418i
\(306\) −2.48796 13.6410i −0.142227 0.779803i
\(307\) 8.41836 + 9.34953i 0.480461 + 0.533606i 0.933830 0.357717i \(-0.116445\pi\)
−0.453369 + 0.891323i \(0.649778\pi\)
\(308\) −0.0824107 0.253634i −0.00469578 0.0144521i
\(309\) 2.50378 10.9922i 0.142435 0.625325i
\(310\) −4.86831 + 2.70178i −0.276501 + 0.153451i
\(311\) 7.04247i 0.399342i −0.979863 0.199671i \(-0.936013\pi\)
0.979863 0.199671i \(-0.0639873\pi\)
\(312\) 9.73525 0.880536i 0.551150 0.0498505i
\(313\) 11.4480 10.3078i 0.647081 0.582634i −0.278847 0.960336i \(-0.589952\pi\)
0.925927 + 0.377702i \(0.123286\pi\)
\(314\) 5.46340 + 7.51972i 0.308317 + 0.424362i
\(315\) 0.165881 0.0125788i 0.00934631 0.000708737i
\(316\) 11.2554 + 6.49830i 0.633165 + 0.365558i
\(317\) 0.195632 0.0205617i 0.0109878 0.00115486i −0.0990330 0.995084i \(-0.531575\pi\)
0.110021 + 0.993929i \(0.464908\pi\)
\(318\) 5.19307 + 5.93863i 0.291213 + 0.333022i
\(319\) −1.24550 + 11.8502i −0.0697347 + 0.663482i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −27.7816 20.8074i −1.55062 1.16135i
\(322\) −0.0152742 + 0.0718596i −0.000851200 + 0.00400458i
\(323\) 33.4871 7.11790i 1.86327 0.396051i
\(324\) −7.99561 4.13162i −0.444200 0.229534i
\(325\) −5.36738 1.74397i −0.297728 0.0967378i
\(326\) −19.3950 6.30182i −1.07419 0.349025i
\(327\) −3.39339 17.1879i −0.187655 0.950492i
\(328\) −9.27635 + 1.97175i −0.512201 + 0.108872i
\(329\) 0.00424259 0.0199598i 0.000233902 0.00110042i
\(330\) 4.99353 6.66728i 0.274885 0.367022i
\(331\) −22.7083 20.4467i −1.24816 1.12385i −0.987366 0.158458i \(-0.949348\pi\)
−0.260798 0.965393i \(-0.583986\pi\)
\(332\) 0.277496 2.64020i 0.0152296 0.144900i
\(333\) 12.7646 6.88350i 0.699494 0.377214i
\(334\) 20.3008 2.13370i 1.11081 0.116751i
\(335\) −2.86283 1.65285i −0.156413 0.0903050i
\(336\) 0.0917665 0.0283508i 0.00500627 0.00154666i
\(337\) −18.0451 24.8370i −0.982980 1.35296i −0.935208 0.354098i \(-0.884788\pi\)
−0.0477716 0.998858i \(-0.515212\pi\)
\(338\) 14.0084 12.6132i 0.761956 0.686068i
\(339\) 0.183418 + 2.02788i 0.00996190 + 0.110139i
\(340\) 4.62201i 0.250664i
\(341\) −19.5928 18.2520i −1.06101 0.988399i
\(342\) 9.62359 20.0290i 0.520384 1.08304i
\(343\) 0.239847 + 0.738173i 0.0129505 + 0.0398576i
\(344\) 1.66457 + 1.84870i 0.0897478 + 0.0996750i
\(345\) −2.10962 + 0.902801i −0.113578 + 0.0486052i
\(346\) 6.82245 + 11.8168i 0.366777 + 0.635277i
\(347\) 10.9628 18.9881i 0.588514 1.01934i −0.405914 0.913911i \(-0.633047\pi\)
0.994427 0.105424i \(-0.0336201\pi\)
\(348\) −4.26083 0.510469i −0.228405 0.0273640i
\(349\) 9.43959 + 6.85826i 0.505289 + 0.367114i 0.811034 0.584999i \(-0.198905\pi\)
−0.305744 + 0.952114i \(0.598905\pi\)
\(350\) −0.0551485 0.00579634i −0.00294781 0.000309827i
\(351\) −28.9224 + 4.84240i −1.54376 + 0.258468i
\(352\) 1.95612 4.39351i 0.104261 0.234175i
\(353\) 33.0664 + 7.02849i 1.75995 + 0.374089i 0.970758 0.240059i \(-0.0771669\pi\)
0.789191 + 0.614148i \(0.210500\pi\)
\(354\) −0.158217 + 10.8980i −0.00840915 + 0.579223i
\(355\) −2.80586 + 1.24925i −0.148920 + 0.0663033i
\(356\) 2.32871 7.16702i 0.123421 0.379851i
\(357\) −0.381188 0.227520i −0.0201746 0.0120417i
\(358\) −5.55968 12.4872i −0.293838 0.659971i
\(359\) 5.26772 + 24.7827i 0.278020 + 1.30798i 0.866382 + 0.499383i \(0.166440\pi\)
−0.588362 + 0.808598i \(0.700227\pi\)
\(360\) 2.37484 + 1.83307i 0.125165 + 0.0966112i
\(361\) 32.7631 + 14.5871i 1.72437 + 0.767740i
\(362\) −5.77013 + 6.40838i −0.303271 + 0.336817i
\(363\) 19.8841 + 6.78139i 1.04364 + 0.355931i
\(364\) 0.183947 0.253182i 0.00964146 0.0132703i
\(365\) 0.743700 + 7.07583i 0.0389270 + 0.370366i
\(366\) −7.64395 7.08625i −0.399555 0.370404i
\(367\) −5.69923 + 3.29045i −0.297497 + 0.171760i −0.641318 0.767275i \(-0.721612\pi\)
0.343821 + 0.939035i \(0.388279\pi\)
\(368\) −1.07181 + 0.778717i −0.0558721 + 0.0405934i
\(369\) 27.3021 8.00257i 1.42129 0.416597i
\(370\) −4.59751 + 1.49382i −0.239013 + 0.0776600i
\(371\) 0.252567 0.0131126
\(372\) 6.67511 6.96009i 0.346088 0.360864i
\(373\) 4.24372 0.219732 0.109866 0.993946i \(-0.464958\pi\)
0.109866 + 0.993946i \(0.464958\pi\)
\(374\) −21.1407 + 6.86902i −1.09316 + 0.355188i
\(375\) −0.844159 1.51241i −0.0435922 0.0781007i
\(376\) 0.297708 0.216298i 0.0153531 0.0111547i
\(377\) −12.1092 + 6.99124i −0.623654 + 0.360067i
\(378\) −0.268080 + 0.105625i −0.0137886 + 0.00543277i
\(379\) −3.46762 32.9922i −0.178120 1.69469i −0.609710 0.792625i \(-0.708714\pi\)
0.431590 0.902070i \(-0.357953\pi\)
\(380\) −4.35373 + 5.99239i −0.223341 + 0.307403i
\(381\) 1.90317 5.58038i 0.0975022 0.285891i
\(382\) −5.26145 + 5.84344i −0.269199 + 0.298976i
\(383\) −24.9969 11.1293i −1.27728 0.568682i −0.347805 0.937567i \(-0.613073\pi\)
−0.929475 + 0.368885i \(0.879740\pi\)
\(384\) 1.57191 + 0.727384i 0.0802164 + 0.0371191i
\(385\) −0.0554472 0.260859i −0.00282585 0.0132946i
\(386\) 1.56032 + 3.50453i 0.0794180 + 0.178376i
\(387\) −5.39878 5.15262i −0.274436 0.261922i
\(388\) 0.760017 2.33909i 0.0385840 0.118749i
\(389\) −30.3902 + 13.5306i −1.54084 + 0.686027i −0.988999 0.147921i \(-0.952742\pi\)
−0.551843 + 0.833948i \(0.686075\pi\)
\(390\) 9.77396 + 0.141898i 0.494924 + 0.00718529i
\(391\) 5.98958 + 1.27312i 0.302906 + 0.0643846i
\(392\) −2.84591 + 6.39201i −0.143740 + 0.322845i
\(393\) −0.312175 + 0.219956i −0.0157471 + 0.0110953i
\(394\) 13.3608 + 1.40428i 0.673108 + 0.0707466i
\(395\) 10.5145 + 7.63921i 0.529040 + 0.384370i
\(396\) −4.85493 + 13.5865i −0.243969 + 0.682749i
\(397\) −2.60107 + 4.50518i −0.130544 + 0.226109i −0.923886 0.382667i \(-0.875006\pi\)
0.793342 + 0.608776i \(0.208339\pi\)
\(398\) 11.0671 + 19.1688i 0.554743 + 0.960844i
\(399\) −0.279893 0.654041i −0.0140122 0.0327430i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 10.2012 + 31.3960i 0.509423 + 1.56784i 0.793206 + 0.608954i \(0.208411\pi\)
−0.283783 + 0.958889i \(0.591589\pi\)
\(402\) 5.58266 + 1.27160i 0.278438 + 0.0634218i
\(403\) 3.81357 31.1899i 0.189968 1.55368i
\(404\) 17.5609i 0.873685i
\(405\) −7.51993 4.94476i −0.373668 0.245707i
\(406\) −0.102099 + 0.0919302i −0.00506708 + 0.00456242i
\(407\) −13.6652 18.8085i −0.677359 0.932305i
\(408\) −2.36307 7.64884i −0.116989 0.378674i
\(409\) −16.0188 9.24846i −0.792079 0.457307i 0.0486150 0.998818i \(-0.484519\pi\)
−0.840694 + 0.541511i \(0.817853\pi\)
\(410\) −9.43164 + 0.991305i −0.465795 + 0.0489571i
\(411\) −10.5381 + 9.21510i −0.519806 + 0.454547i
\(412\) 0.680366 6.47325i 0.0335192 0.318914i
\(413\) 0.259314 + 0.233487i 0.0127600 + 0.0114892i
\(414\) 3.02959 2.57259i 0.148896 0.126436i
\(415\) 0.551951 2.59673i 0.0270942 0.127468i
\(416\) 5.52027 1.17337i 0.270653 0.0575292i
\(417\) −5.14309 + 1.01540i −0.251858 + 0.0497242i
\(418\) −33.8790 11.0080i −1.65708 0.538417i
\(419\) −1.99398 0.647883i −0.0974123 0.0316512i 0.259905 0.965634i \(-0.416309\pi\)
−0.357318 + 0.933983i \(0.616309\pi\)
\(420\) 0.0942273 0.0186032i 0.00459782 0.000907745i
\(421\) −9.89485 + 2.10321i −0.482245 + 0.102504i −0.442618 0.896710i \(-0.645950\pi\)
−0.0396271 + 0.999215i \(0.512617\pi\)
\(422\) 0.873567 4.10981i 0.0425246 0.200063i
\(423\) −0.841502 + 0.714567i −0.0409152 + 0.0347434i
\(424\) 3.38479 + 3.04767i 0.164380 + 0.148008i
\(425\) −0.483131 + 4.59669i −0.0234353 + 0.222972i
\(426\) 4.00465 3.50189i 0.194026 0.169667i
\(427\) −0.331877 + 0.0348817i −0.0160607 + 0.00168804i
\(428\) −17.3549 10.0198i −0.838879 0.484327i
\(429\) 13.8766 + 44.9161i 0.669968 + 2.16857i
\(430\) 1.46221 + 2.01256i 0.0705142 + 0.0970544i
\(431\) 3.40460 3.06551i 0.163994 0.147661i −0.583048 0.812438i \(-0.698140\pi\)
0.747042 + 0.664777i \(0.231473\pi\)
\(432\) −4.86724 1.81933i −0.234175 0.0875326i
\(433\) 0.0498821i 0.00239718i −0.999999 0.00119859i \(-0.999618\pi\)
0.999999 0.00119859i \(-0.000381523\pi\)
\(434\) −0.0270650 0.307557i −0.00129916 0.0147632i
\(435\) −4.18413 0.953051i −0.200614 0.0456953i
\(436\) −3.12570 9.61992i −0.149694 0.460711i
\(437\) 6.56621 + 7.29251i 0.314104 + 0.348848i
\(438\) −4.84835 11.3294i −0.231663 0.541339i
\(439\) −14.9447 25.8850i −0.713273 1.23543i −0.963622 0.267269i \(-0.913879\pi\)
0.250349 0.968156i \(-0.419455\pi\)
\(440\) 2.40465 4.16497i 0.114637 0.198557i
\(441\) 7.06331 19.7667i 0.336348 0.941271i
\(442\) −21.1030 15.3322i −1.00377 0.729279i
\(443\) −32.6130 3.42777i −1.54949 0.162858i −0.709205 0.705002i \(-0.750946\pi\)
−0.840286 + 0.542144i \(0.817613\pi\)
\(444\) 6.84456 4.82262i 0.324828 0.228872i
\(445\) 3.06511 6.88434i 0.145300 0.326349i
\(446\) 19.4988 + 4.14460i 0.923294 + 0.196252i
\(447\) 14.7731 + 0.214475i 0.698742 + 0.0101443i
\(448\) 0.0506582 0.0225545i 0.00239337 0.00106560i
\(449\) 7.83440 24.1118i 0.369728 1.13791i −0.577239 0.816575i \(-0.695870\pi\)
0.946967 0.321331i \(-0.104130\pi\)
\(450\) 2.17022 + 2.07127i 0.102305 + 0.0976404i
\(451\) −18.5510 41.6663i −0.873533 1.96199i
\(452\) 0.244416 + 1.14989i 0.0114964 + 0.0540861i
\(453\) 28.3137 + 13.1018i 1.33030 + 0.615578i
\(454\) 5.13416 + 2.28588i 0.240958 + 0.107282i
\(455\) 0.209404 0.232567i 0.00981703 0.0109029i
\(456\) 4.14118 12.1426i 0.193928 0.568627i
\(457\) 3.62253 4.98599i 0.169455 0.233235i −0.715840 0.698264i \(-0.753956\pi\)
0.885295 + 0.465029i \(0.153956\pi\)
\(458\) −2.39809 22.8163i −0.112056 1.06614i
\(459\) 8.80397 + 22.3448i 0.410934 + 1.04297i
\(460\) −1.14734 + 0.662417i −0.0534950 + 0.0308853i
\(461\) 20.8915 15.1785i 0.973013 0.706935i 0.0168765 0.999858i \(-0.494628\pi\)
0.956136 + 0.292922i \(0.0946278\pi\)
\(462\) 0.225126 + 0.403340i 0.0104738 + 0.0187651i
\(463\) −11.9045 + 3.86802i −0.553251 + 0.179762i −0.572282 0.820057i \(-0.693942\pi\)
0.0190314 + 0.999819i \(0.493942\pi\)
\(464\) −2.47758 −0.115019
\(465\) 7.36607 6.22422i 0.341593 0.288641i
\(466\) −17.3662 −0.804474
\(467\) 3.68440 1.19713i 0.170494 0.0553968i −0.222526 0.974927i \(-0.571430\pi\)
0.393020 + 0.919530i \(0.371430\pi\)
\(468\) −16.2472 + 4.76225i −0.751028 + 0.220135i
\(469\) 0.148300 0.107746i 0.00684786 0.00497526i
\(470\) 0.318686 0.183994i 0.0146999 0.00848699i
\(471\) −11.8064 10.9450i −0.544011 0.504320i
\(472\) 0.657760 + 6.25817i 0.0302759 + 0.288056i
\(473\) −7.03222 + 9.67902i −0.323342 + 0.445042i
\(474\) −21.3058 7.26626i −0.978607 0.333750i
\(475\) −4.95625 + 5.50447i −0.227408 + 0.252563i
\(476\) −0.234142 0.104247i −0.0107319 0.00477815i
\(477\) −10.8166 8.34904i −0.495259 0.382276i
\(478\) −1.41370 6.65092i −0.0646610 0.304206i
\(479\) −3.37512 7.58063i −0.154213 0.346368i 0.819873 0.572545i \(-0.194044\pi\)
−0.974086 + 0.226177i \(0.927377\pi\)
\(480\) 1.48727 + 0.887709i 0.0678843 + 0.0405182i
\(481\) 8.43051 25.9464i 0.384398 1.18306i
\(482\) −21.7022 + 9.66244i −0.988508 + 0.440112i
\(483\) 0.00184715 0.127232i 8.40481e−5 0.00578924i
\(484\) 11.8643 + 2.52183i 0.539286 + 0.114629i
\(485\) 1.00036 2.24684i 0.0454238 0.102024i
\(486\) 14.9726 + 4.33828i 0.679172 + 0.196788i
\(487\) 38.4362 + 4.03981i 1.74171 + 0.183061i 0.921337 0.388766i \(-0.127099\pi\)
0.820374 + 0.571827i \(0.193765\pi\)
\(488\) −4.86857 3.53722i −0.220390 0.160123i
\(489\) 35.0711 + 4.20169i 1.58597 + 0.190007i
\(490\) −3.49846 + 6.05951i −0.158044 + 0.273741i
\(491\) 1.15064 + 1.99297i 0.0519277 + 0.0899415i 0.890821 0.454355i \(-0.150130\pi\)
−0.838893 + 0.544296i \(0.816797\pi\)
\(492\) 15.1014 6.46254i 0.680822 0.291354i
\(493\) 7.66249 + 8.51005i 0.345101 + 0.383274i
\(494\) −12.9176 39.7562i −0.581189 1.78871i
\(495\) −6.24851 + 13.0046i −0.280850 + 0.584514i
\(496\) 3.34851 4.44831i 0.150352 0.199735i
\(497\) 0.170316i 0.00763971i
\(498\) 0.414203 + 4.57945i 0.0185609 + 0.205210i
\(499\) 10.8749 9.79176i 0.486825 0.438339i −0.388806 0.921320i \(-0.627112\pi\)
0.875631 + 0.482980i \(0.160446\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −33.7804 + 10.4363i −1.50920 + 0.466258i
\(502\) −16.2102 9.35895i −0.723496 0.417711i
\(503\) −22.0793 + 2.32063i −0.984466 + 0.103472i −0.583060 0.812429i \(-0.698145\pi\)
−0.401406 + 0.915900i \(0.631478\pi\)
\(504\) −0.146423 + 0.0789610i −0.00652221 + 0.00351720i
\(505\) 1.83561 17.4647i 0.0816836 0.777167i
\(506\) −4.73496 4.26338i −0.210495 0.189530i
\(507\) −19.5723 + 26.1326i −0.869234 + 1.16059i
\(508\) 0.707742 3.32966i 0.0314010 0.147730i
\(509\) 42.6201 9.05919i 1.88910 0.401542i 0.890530 0.454924i \(-0.150333\pi\)
0.998574 + 0.0533821i \(0.0170001\pi\)
\(510\) −1.55060 7.85395i −0.0686617 0.347779i
\(511\) −0.375223 0.121917i −0.0165989 0.00539330i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −9.63353 + 37.2628i −0.425331 + 1.64519i
\(514\) −13.7247 + 2.91727i −0.605370 + 0.128675i
\(515\) 1.35328 6.36667i 0.0596326 0.280549i
\(516\) −3.44873 2.58296i −0.151822 0.113709i
\(517\) 1.31519 + 1.18420i 0.0578419 + 0.0520811i
\(518\) 0.0280201 0.266593i 0.00123113 0.0117134i
\(519\) −15.5574 17.7910i −0.682894 0.780936i
\(520\) 5.61268 0.589916i 0.246132 0.0258695i
\(521\) 6.88015 + 3.97226i 0.301425 + 0.174028i 0.643083 0.765797i \(-0.277655\pi\)
−0.341658 + 0.939824i \(0.610988\pi\)
\(522\) 7.41147 0.562017i 0.324391 0.0245988i
\(523\) 16.0130 + 22.0400i 0.700198 + 0.963741i 0.999953 + 0.00972406i \(0.00309531\pi\)
−0.299754 + 0.954016i \(0.596905\pi\)
\(524\) −0.163848 + 0.147530i −0.00715774 + 0.00644486i
\(525\) 0.0956557 0.00865189i 0.00417476 0.000377599i
\(526\) 3.87455i 0.168938i
\(527\) −25.6352 + 2.25590i −1.11669 + 0.0982685i
\(528\) −1.84999 + 8.12192i −0.0805105 + 0.353461i
\(529\) −6.56501 20.2050i −0.285435 0.878479i
\(530\) 3.04767 + 3.38479i 0.132383 + 0.147026i
\(531\) −3.38724 18.5715i −0.146994 0.805937i
\(532\) −0.205367 0.355707i −0.00890381 0.0154219i
\(533\) 26.7608 46.3510i 1.15914 2.00768i
\(534\) −1.55265 + 12.9598i −0.0671897 + 0.560825i
\(535\) −16.2124 11.7790i −0.700925 0.509252i
\(536\) 3.28760 + 0.345540i 0.142003 + 0.0149251i
\(537\) 13.6365 + 19.3538i 0.588459 + 0.835177i
\(538\) 10.2039 22.9182i 0.439919 0.988075i
\(539\) −32.9150 6.99629i −1.41775 0.301352i
\(540\) −4.65041 2.31813i −0.200122 0.0997564i
\(541\) −30.9134 + 13.7635i −1.32907 + 0.591740i −0.943633 0.330995i \(-0.892616\pi\)
−0.385436 + 0.922734i \(0.625949\pi\)
\(542\) 7.62761 23.4754i 0.327634 1.00835i
\(543\) 7.65500 12.8252i 0.328508 0.550383i
\(544\) −1.87994 4.22241i −0.0806017 0.181034i
\(545\) −2.10302 9.89395i −0.0900836 0.423810i
\(546\) −0.227635 + 0.491930i −0.00974187 + 0.0210527i
\(547\) 13.8563 + 6.16924i 0.592454 + 0.263778i 0.680987 0.732296i \(-0.261551\pi\)
−0.0885327 + 0.996073i \(0.528218\pi\)
\(548\) −5.40810 + 6.00630i −0.231023 + 0.256577i
\(549\) 15.3663 + 9.47690i 0.655817 + 0.404464i
\(550\) 2.82683 3.89080i 0.120537 0.165904i
\(551\) 1.91825 + 18.2509i 0.0817202 + 0.777516i
\(552\) 1.56003 1.68281i 0.0663994 0.0716251i
\(553\) −0.624137 + 0.360345i −0.0265410 + 0.0153234i
\(554\) 15.4198 11.2031i 0.655123 0.475974i
\(555\) 7.31116 4.08075i 0.310342 0.173218i
\(556\) −2.87855 + 0.935296i −0.122078 + 0.0396654i
\(557\) −2.66733 −0.113018 −0.0565092 0.998402i \(-0.517997\pi\)
−0.0565092 + 0.998402i \(0.517997\pi\)
\(558\) −9.00770 + 14.0663i −0.381326 + 0.595475i
\(559\) −14.0394 −0.593802
\(560\) 0.0527382 0.0171357i 0.00222860 0.000724115i
\(561\) 33.6189 18.7645i 1.41939 0.792237i
\(562\) −26.5250 + 19.2715i −1.11889 + 0.812921i
\(563\) −34.4344 + 19.8807i −1.45124 + 0.837873i −0.998552 0.0537967i \(-0.982868\pi\)
−0.452687 + 0.891670i \(0.649534\pi\)
\(564\) −0.433317 + 0.467419i −0.0182459 + 0.0196819i
\(565\) 0.122881 + 1.16914i 0.00516965 + 0.0491859i
\(566\) 10.9987 15.1384i 0.462310 0.636315i
\(567\) 0.420100 0.269420i 0.0176426 0.0113146i
\(568\) 2.05516 2.28249i 0.0862328 0.0957712i
\(569\) 36.6236 + 16.3059i 1.53534 + 0.683578i 0.988159 0.153436i \(-0.0490337\pi\)
0.547182 + 0.837013i \(0.315700\pi\)
\(570\) 5.38773 11.6432i 0.225667 0.487679i
\(571\) −4.26990 20.0883i −0.178690 0.840670i −0.972573 0.232599i \(-0.925277\pi\)
0.793883 0.608071i \(-0.208056\pi\)
\(572\) 11.0395 + 24.7952i 0.461586 + 1.03674i
\(573\) 6.98016 11.6946i 0.291600 0.488548i
\(574\) 0.162508 0.500148i 0.00678295 0.0208758i
\(575\) −1.21030 + 0.538858i −0.0504728 + 0.0224719i
\(576\) −2.91510 0.708659i −0.121462 0.0295274i
\(577\) 33.4289 + 7.10553i 1.39166 + 0.295807i 0.841954 0.539550i \(-0.181405\pi\)
0.549708 + 0.835357i \(0.314739\pi\)
\(578\) −1.77457 + 3.98575i −0.0738124 + 0.165785i
\(579\) −3.82707 5.43161i −0.159048 0.225730i
\(580\) −2.46401 0.258978i −0.102312 0.0107535i
\(581\) 0.119096 + 0.0865286i 0.00494095 + 0.00358981i
\(582\) −0.506737 + 4.22968i −0.0210049 + 0.175326i
\(583\) −10.9524 + 18.9701i −0.453602 + 0.785662i
\(584\) −3.55740 6.16161i −0.147206 0.254969i
\(585\) −16.6560 + 3.03787i −0.688641 + 0.125600i
\(586\) 1.55018 + 1.72165i 0.0640372 + 0.0711206i
\(587\) 13.4062 + 41.2600i 0.553332 + 1.70298i 0.700308 + 0.713841i \(0.253046\pi\)
−0.146975 + 0.989140i \(0.546954\pi\)
\(588\) 2.69150 11.8164i 0.110996 0.487299i
\(589\) −35.3607 21.2224i −1.45701 0.874456i
\(590\) 6.29264i 0.259064i
\(591\) −23.1745 + 2.09609i −0.953271 + 0.0862217i
\(592\) 3.59244 3.23465i 0.147648 0.132943i
\(593\) 24.0691 + 33.1283i 0.988401 + 1.36042i 0.932178 + 0.361999i \(0.117906\pi\)
0.0562229 + 0.998418i \(0.482094\pi\)
\(594\) 3.69170 24.7157i 0.151472 1.01410i
\(595\) −0.221963 0.128150i −0.00909959 0.00525365i
\(596\) 8.48341 0.891642i 0.347494 0.0365231i
\(597\) −25.2365 28.8597i −1.03286 1.18115i
\(598\) 0.781540 7.43586i 0.0319596 0.304075i
\(599\) −25.6952 23.1361i −1.04988 0.945316i −0.0513043 0.998683i \(-0.516338\pi\)
−0.998575 + 0.0533675i \(0.983005\pi\)
\(600\) 1.38633 + 1.03831i 0.0565968 + 0.0423887i
\(601\) 1.15150 5.41737i 0.0469706 0.220979i −0.948402 0.317071i \(-0.897301\pi\)
0.995373 + 0.0960914i \(0.0306341\pi\)
\(602\) −0.134932 + 0.0286807i −0.00549943 + 0.00116894i
\(603\) −9.91294 0.287892i −0.403686 0.0117239i
\(604\) 17.1307 + 5.56610i 0.697038 + 0.226481i
\(605\) 11.5357 + 3.74818i 0.468993 + 0.152385i
\(606\) 5.89135 + 29.8403i 0.239320 + 1.21218i
\(607\) 41.6095 8.84438i 1.68888 0.358982i 0.739510 0.673145i \(-0.235057\pi\)
0.949369 + 0.314163i \(0.101724\pi\)
\(608\) 1.54000 7.24514i 0.0624553 0.293829i
\(609\) 0.142651 0.190465i 0.00578050 0.00771802i
\(610\) −4.47216 4.02675i −0.181072 0.163038i
\(611\) −0.217082 + 2.06539i −0.00878218 + 0.0835569i
\(612\) 6.58149 + 12.2045i 0.266041 + 0.493339i
\(613\) −38.4636 + 4.04269i −1.55353 + 0.163283i −0.842041 0.539414i \(-0.818646\pi\)
−0.711489 + 0.702697i \(0.751979\pi\)
\(614\) −10.8955 6.29052i −0.439707 0.253865i
\(615\) 15.6941 4.84862i 0.632849 0.195515i
\(616\) 0.156754 + 0.215754i 0.00631581 + 0.00869297i
\(617\) 5.69407 5.12696i 0.229235 0.206404i −0.546507 0.837455i \(-0.684043\pi\)
0.775741 + 0.631051i \(0.217376\pi\)
\(618\) 1.01555 + 11.2279i 0.0408513 + 0.451653i
\(619\) 18.7668i 0.754300i 0.926152 + 0.377150i \(0.123096\pi\)
−0.926152 + 0.377150i \(0.876904\pi\)
\(620\) 3.79514 4.07393i 0.152416 0.163613i
\(621\) −4.28497 + 5.38785i −0.171950 + 0.216207i
\(622\) 2.17624 + 6.69779i 0.0872594 + 0.268557i
\(623\) 0.279616 + 0.310545i 0.0112026 + 0.0124417i
\(624\) −8.98667 + 3.84580i −0.359755 + 0.153955i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −7.70242 + 13.3410i −0.307851 + 0.533213i
\(627\) 61.2619 + 7.33948i 2.44656 + 0.293111i
\(628\) −7.51972 5.46340i −0.300070 0.218013i
\(629\) −22.2209 2.33551i −0.886004 0.0931227i
\(630\) −0.153875 + 0.0632231i −0.00613051 + 0.00251887i
\(631\) 4.65845 10.4631i 0.185450 0.416528i −0.796764 0.604290i \(-0.793457\pi\)
0.982214 + 0.187762i \(0.0601235\pi\)
\(632\) −12.7126 2.70215i −0.505680 0.107486i
\(633\) −0.105642 + 7.27667i −0.00419891 + 0.289221i
\(634\) −0.179703 + 0.0800088i −0.00713691 + 0.00317756i
\(635\) 1.05191 3.23744i 0.0417437 0.128474i
\(636\) −6.77404 4.04323i −0.268608 0.160324i
\(637\) −16.0611 36.0739i −0.636365 1.42930i
\(638\) −2.47736 11.6551i −0.0980796 0.461428i
\(639\) −5.63008 + 7.29407i −0.222723 + 0.288549i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −14.4259 + 16.0216i −0.569790 + 0.632816i −0.957316 0.289043i \(-0.906663\pi\)
0.387526 + 0.921859i \(0.373330\pi\)
\(642\) 32.8517 + 11.2040i 1.29655 + 0.442185i
\(643\) −23.9445 + 32.9568i −0.944280 + 1.29969i 0.00974134 + 0.999953i \(0.496899\pi\)
−0.954022 + 0.299738i \(0.903101\pi\)
\(644\) −0.00767918 0.0730625i −0.000302602 0.00287907i
\(645\) −3.15984 2.92930i −0.124419 0.115341i
\(646\) −29.6486 + 17.1176i −1.16651 + 0.673483i
\(647\) −18.8482 + 13.6940i −0.740998 + 0.538367i −0.893024 0.450010i \(-0.851420\pi\)
0.152025 + 0.988377i \(0.451420\pi\)
\(648\) 8.88101 + 1.45863i 0.348879 + 0.0573002i
\(649\) −28.7820 + 9.35184i −1.12979 + 0.367092i
\(650\) 5.64359 0.221360
\(651\) 0.149170 + 0.513536i 0.00584643 + 0.0201271i
\(652\) 20.3931 0.798656
\(653\) 23.6532 7.68539i 0.925622 0.300753i 0.192851 0.981228i \(-0.438227\pi\)
0.732771 + 0.680475i \(0.238227\pi\)
\(654\) 8.53866 + 15.2980i 0.333888 + 0.598201i
\(655\) −0.178372 + 0.129595i −0.00696956 + 0.00506368i
\(656\) 8.21303 4.74179i 0.320665 0.185136i
\(657\) 12.0394 + 17.6249i 0.469700 + 0.687614i
\(658\) 0.00213298 + 0.0202939i 8.31522e−5 + 0.000791140i
\(659\) 6.52985 8.98756i 0.254367 0.350106i −0.662668 0.748913i \(-0.730576\pi\)
0.917035 + 0.398808i \(0.130576\pi\)
\(660\) −2.68883 + 7.88405i −0.104662 + 0.306886i
\(661\) −11.8590 + 13.1707i −0.461260 + 0.512281i −0.928238 0.371988i \(-0.878676\pi\)
0.466978 + 0.884269i \(0.345343\pi\)
\(662\) 27.9153 + 12.4287i 1.08496 + 0.483055i
\(663\) 41.0029 + 18.9736i 1.59242 + 0.736874i
\(664\) 0.551951 + 2.59673i 0.0214199 + 0.100773i
\(665\) −0.167061 0.375225i −0.00647835 0.0145506i
\(666\) −10.0127 + 10.4911i −0.387985 + 0.406521i
\(667\) −1.01431 + 3.12173i −0.0392743 + 0.120874i
\(668\) −18.6479 + 8.30257i −0.721508 + 0.321236i
\(669\) −34.5238 0.501215i −1.33477 0.0193781i
\(670\) 3.23347 + 0.687295i 0.124920 + 0.0265525i
\(671\) 11.7717 26.4397i 0.454441 1.02069i
\(672\) −0.0785143 + 0.0553206i −0.00302875 + 0.00213404i
\(673\) 20.7893 + 2.18504i 0.801367 + 0.0842271i 0.496353 0.868121i \(-0.334672\pi\)
0.305014 + 0.952348i \(0.401339\pi\)
\(674\) 24.8370 + 18.0451i 0.956684 + 0.695072i
\(675\) −4.38262 2.79153i −0.168687 0.107446i
\(676\) −9.42507 + 16.3247i −0.362503 + 0.627873i
\(677\) 16.8300 + 29.1503i 0.646828 + 1.12034i 0.983876 + 0.178851i \(0.0572381\pi\)
−0.337048 + 0.941487i \(0.609429\pi\)
\(678\) −0.801090 1.87195i −0.0307657 0.0718917i
\(679\) 0.0912581 + 0.101352i 0.00350216 + 0.00388955i
\(680\) −1.42828 4.39579i −0.0547720 0.168571i
\(681\) −9.49110 2.16186i −0.363700 0.0828426i
\(682\) 24.2740 + 11.3041i 0.929499 + 0.432858i
\(683\) 3.06638i 0.117332i 0.998278 + 0.0586659i \(0.0186847\pi\)
−0.998278 + 0.0586659i \(0.981315\pi\)
\(684\) −2.96329 + 22.0225i −0.113304 + 0.842053i
\(685\) −6.00630 + 5.40810i −0.229489 + 0.206633i
\(686\) −0.456216 0.627928i −0.0174184 0.0239744i
\(687\) 11.7294 + 37.9661i 0.447506 + 1.44850i
\(688\) −2.15438 1.24383i −0.0821350 0.0474207i
\(689\) −25.5639 + 2.68688i −0.973909 + 0.102362i
\(690\) 1.72739 1.51052i 0.0657605 0.0575046i
\(691\) 3.20024 30.4483i 0.121743 1.15831i −0.747618 0.664129i \(-0.768803\pi\)
0.869361 0.494178i \(-0.164531\pi\)
\(692\) −10.1401 9.13023i −0.385470 0.347079i
\(693\) −0.517859 0.609850i −0.0196718 0.0231663i
\(694\) −4.55859 + 21.4465i −0.173042 + 0.814097i
\(695\) −2.96054 + 0.629283i −0.112300 + 0.0238700i
\(696\) 4.21003 0.831184i 0.159581 0.0315060i
\(697\) −41.6879 13.5452i −1.57904 0.513061i
\(698\) −11.0969 3.60560i −0.420024 0.136474i
\(699\) 29.5095 5.82605i 1.11615 0.220361i
\(700\) 0.0542405 0.0115292i 0.00205010 0.000435762i
\(701\) −2.85404 + 13.4272i −0.107796 + 0.507138i 0.890811 + 0.454373i \(0.150137\pi\)
−0.998607 + 0.0527651i \(0.983197\pi\)
\(702\) 26.0105 13.5429i 0.981701 0.511144i
\(703\) −26.6092 23.9590i −1.00358 0.903632i
\(704\) −0.502709 + 4.78295i −0.0189465 + 0.180264i
\(705\) −0.479801 + 0.419565i −0.0180704 + 0.0158017i
\(706\) −33.6200 + 3.53360i −1.26530 + 0.132989i
\(707\) 0.843326 + 0.486895i 0.0317166 + 0.0183116i
\(708\) −3.21720 10.4135i −0.120910 0.391364i
\(709\) 17.2317 + 23.7174i 0.647151 + 0.890727i 0.998972 0.0453406i \(-0.0144373\pi\)
−0.351821 + 0.936067i \(0.614437\pi\)
\(710\) 2.28249 2.05516i 0.0856604 0.0771290i
\(711\) 38.6416 + 5.19949i 1.44917 + 0.194996i
\(712\) 7.53585i 0.282418i
\(713\) −4.23397 6.04021i −0.158563 0.226208i
\(714\) 0.432839 + 0.0985911i 0.0161986 + 0.00368968i
\(715\) 8.38725 + 25.8133i 0.313666 + 0.965363i
\(716\) 9.14633 + 10.1580i 0.341815 + 0.379623i
\(717\) 4.63349 + 10.8273i 0.173041 + 0.404353i
\(718\) −12.6682 21.9419i −0.472772 0.818865i
\(719\) −10.8375 + 18.7710i −0.404169 + 0.700041i −0.994224 0.107321i \(-0.965773\pi\)
0.590055 + 0.807363i \(0.299106\pi\)
\(720\) −2.82505 1.00949i −0.105284 0.0376214i
\(721\) 0.292002 + 0.212152i 0.0108747 + 0.00790094i
\(722\) −35.6672 3.74877i −1.32740 0.139515i
\(723\) 33.6359 23.6996i 1.25093 0.881398i
\(724\) 3.50742 7.87780i 0.130352 0.292776i
\(725\) −2.42344 0.515119i −0.0900044 0.0191310i
\(726\) −21.0064 0.304971i −0.779622 0.0113185i
\(727\) 27.8518 12.4004i 1.03297 0.459906i 0.180988 0.983485i \(-0.442070\pi\)
0.851977 + 0.523579i \(0.175404\pi\)
\(728\) −0.0967069 + 0.297633i −0.00358420 + 0.0110310i
\(729\) −26.8976 2.34877i −0.996209 0.0869917i
\(730\) −2.89385 6.49970i −0.107106 0.240565i
\(731\) 2.39057 + 11.2467i 0.0884184 + 0.415976i
\(732\) 9.45960 + 4.37731i 0.349637 + 0.161790i
\(733\) 9.20971 + 4.10043i 0.340168 + 0.151453i 0.569709 0.821846i \(-0.307056\pi\)
−0.229541 + 0.973299i \(0.573722\pi\)
\(734\) 4.40348 4.89056i 0.162535 0.180514i
\(735\) 3.91191 11.4703i 0.144293 0.423089i
\(736\) 0.778717 1.07181i 0.0287039 0.0395075i
\(737\) 1.66181 + 15.8110i 0.0612134 + 0.582407i
\(738\) −23.4929 + 16.0477i −0.864786 + 0.590724i
\(739\) −15.8869 + 9.17233i −0.584410 + 0.337409i −0.762884 0.646535i \(-0.776217\pi\)
0.178474 + 0.983945i \(0.442884\pi\)
\(740\) 3.91087 2.84141i 0.143766 0.104452i
\(741\) 35.2876 + 63.2221i 1.29632 + 2.32252i
\(742\) −0.240206 + 0.0780476i −0.00881823 + 0.00286522i
\(743\) −9.74870 −0.357645 −0.178823 0.983881i \(-0.557229\pi\)
−0.178823 + 0.983881i \(0.557229\pi\)
\(744\) −4.19762 + 8.68216i −0.153892 + 0.318304i
\(745\) 8.53013 0.312520
\(746\) −4.03602 + 1.31138i −0.147769 + 0.0480131i
\(747\) −2.24016 7.64267i −0.0819631 0.279631i
\(748\) 17.9833 13.0656i 0.657535 0.477727i
\(749\) 0.962367 0.555623i 0.0351641 0.0203020i
\(750\) 1.27020 + 1.17753i 0.0463813 + 0.0429974i
\(751\) 3.83030 + 36.4428i 0.139770 + 1.32982i 0.809459 + 0.587177i \(0.199761\pi\)
−0.669689 + 0.742641i \(0.733573\pi\)
\(752\) −0.216298 + 0.297708i −0.00788756 + 0.0108563i
\(753\) 30.6849 + 10.4650i 1.11822 + 0.381365i
\(754\) 9.35610 10.3910i 0.340729 0.378418i
\(755\) 16.4550 + 7.32625i 0.598860 + 0.266630i
\(756\) 0.222320 0.183297i 0.00808569 0.00666644i
\(757\) −5.82549 27.4068i −0.211731 0.996116i −0.947715 0.319117i \(-0.896614\pi\)
0.735984 0.676998i \(-0.236720\pi\)
\(758\) 13.4930 + 30.3059i 0.490089 + 1.10076i
\(759\) 9.47617 + 5.65605i 0.343963 + 0.205302i
\(760\) 2.28889 7.04448i 0.0830267 0.255530i
\(761\) −7.18615 + 3.19948i −0.260498 + 0.115981i −0.532830 0.846222i \(-0.678872\pi\)
0.272332 + 0.962203i \(0.412205\pi\)
\(762\) −0.0855888 + 5.89537i −0.00310055 + 0.213567i
\(763\) 0.548642 + 0.116617i 0.0198622 + 0.00422183i
\(764\) 3.19822 7.18332i 0.115708 0.259883i
\(765\) 5.26971 + 12.8256i 0.190527 + 0.463711i
\(766\) 27.2126 + 2.86016i 0.983231 + 0.103342i
\(767\) −28.7307 20.8741i −1.03741 0.753719i
\(768\) −1.71975 0.206035i −0.0620562 0.00743465i
\(769\) −20.1776 + 34.9486i −0.727623 + 1.26028i 0.230262 + 0.973129i \(0.426042\pi\)
−0.957885 + 0.287151i \(0.907292\pi\)
\(770\) 0.133343 + 0.230957i 0.00480536 + 0.00832312i
\(771\) 22.3430 9.56156i 0.804663 0.344351i
\(772\) −2.56691 2.85084i −0.0923850 0.102604i
\(773\) −7.06065